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Finding the Fourth Proportional to 186,843.60, 280,095.30 and 68,486.40

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Solution

The fourth proportional to 186,843.60, 280,095.30 and 68,486.40 is: 102,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,843.60 : 280,095.30 = 68,486.40 : x
  2. Step 2: Convert to fraction form
    186,843.60/280,095.30 = 68,486.40/x
  3. Step 3: Cross multiply
    186,843.60x = 280,095.30 × 68,486.40
  4. Step 4: Simplify right side
    186,843.60x = 19,182,718,753.92
  5. Step 5: Solve for x
    x = 19,182,718,753.92/186,843.60
  6. Step 6: Final answer
    x = 102,667.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.